A size 12 dress in Country C is size -22 in Country D. A function that converts dress sizes in Country C to those in Country D is f(x)= x -34 . Find a formula for the inverse of this function.
A) $f ^ { - 1 } ( x ) = \frac { x } { 34 }$
B) $f ^ { - 1 } ( x ) = x + 34$
C) $f ^ { - 1 } ( x ) = x - 34$
D) $f ^ { - 1 } ( x ) = \frac { x } { - 34 }$

Question

A size 12 dress in Country  C  is size  -22  in Country D. A function that converts dress sizes in Country C to those in Country D is  f(x)= x -34 . Find a formula for the inverse of this function.
A) $f ^ { - 1 } ( x ) = \frac { x } { 34 }$
B) $f ^ { - 1 } ( x ) = x + 34$
C) $f ^ { - 1 } ( x ) = x - 34$
D) $f ^ { - 1 } ( x ) = \frac { x } { - 34 }$

Quizplus · Accepted Answer

To find the inverse function, you swap $x$ and $y$ and solve for $y$. If $f(x) = x - 34$, then for the inverse, $x = y - 34$, which simplifies to $y = x + 34$.

A Size 12 Dress in Country C Is f−1(x)=x34f ^ { - 1 } ( x ) = \frac { x } { 34 }f−1(x)=34x​

A Size 12 Dress in Country C Is $f ^ { - 1 } ( x ) = \frac { x } { 34 }$